Similar Figures and Scale

Figures are considered similar if they have all three of the following characteristics:

1. 1. Same ​ (a)   , but different​ (b)  

2. 2. Corresponding angles are ​ (c)  

3. 3. Corresponding side are ​ (d)  

• shape
• size
• congruent
• proportional
• different
• opposite
• similar
• equal
• varying

Triangle ABC and Triangle DEF are similar triangles with corresponding congruent angles. Use the hotspot to show the corresponding angle to Angle B.

Trapezoid ABCD and Trapezoid EFGH are similar figures with corresponding congruent angles. Use the hotspot to show the corresponding angle to Angle H.

Determine the missing piece to each of the proportions to show the similarity between Triangle ABC and Triangle DEF.

​

• 12

• 10 = 15

  8 x

• 15

• x = 6

  12 8

• 9

• 10 = x

  6 9

Determine the value of the missing side length of the similar figure.

Triangle ABC and Triangle ADE are similar figures. Determine the length of Side DE that corresponds with Side BC. Make sure to include the measurement system.

Triangle ABC is similar to Triangle MNO. Use this information to sort each card as either true or false. You will have four true and four false cards.

Groups:

(a) True

,

(b) False

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Angie is going to enlarge a 4 in x 6 in photo into a canvas that measures 10 in x 15 in what is the scale factor that Angie is using?

Triangle ABC is shown below. The measurements will be changed by a scale factor of 0.75. What is the new perimeter of A'B'C'?

There are two different categories for Scale Factor. A Scale Factor will be considered a (a)   if the Scale Factor is between ​ (b)   and ​ (c)   . A Scale Factor will be considered an ​ (d)   if the Scale Factor is ​ (e)   than 1.

• reduction
• 0
• 1
• enlargement
• greater
• increase
• less than 0
• 2
• decrease
• smaller